SOLUTION: Please help I believe these problems fall into the above catagory. 4. 7x – 2y = 8 -14x + 4y = 8 5. 7x – 2y = 8 -14x + 4y = -16 Solve the inequality: 3x – 2.5y = 7.

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Question 176174: Please help I believe these problems fall into the above catagory.
4. 7x – 2y = 8
-14x + 4y = 8
5. 7x – 2y = 8
-14x + 4y = -16
Solve the inequality:
3x – 2.5y = 7.125
2.5x - 3y = 7.3125


Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
Double eq.1 and add to eq. 2 to get rid of x.



Inconsistent system, there is no solution.
These are two parallel lines that never meet, hence no solution.

.
.
.
3.
4.
Double eq.3 and add to eq. 4 to get rid of x.



Consistent, dependent system, there are infinite solutions.
These two lines are actually the same line. So all of the points on the line solve this system of equations.

.
.
.
5.
6.
Let's multiply eq. 5 by 5 and eq. 6 by 3,then subtract to get rid of x.



Change both left and right hand sides to a fractions before continuing,






From eq. 6,
6.






Common denominator is 112.




or approximately,
x=-.89
y=-3.91

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